A:
Positive:
1 x 275023217 x 392890311 x 250021177 x 357173251 x 1095711423 x 193271757 x 156532761 x 9961
Negative:
-1 x -27502321-7 x -3928903-11 x -2500211-77 x -357173-251 x -109571-1423 x -19327-1757 x -15653-2761 x -9961
Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 27,502,321, it is easier to work with a table - it's called factoring from the outside in.
We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.
| 1 | 27,502,321 | |
| -1 | -27,502,321 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,502,321.
Example:
1 x 27,502,321 = 27,502,321
and
-1 x -27,502,321 = 27,502,321
Notice both answers equal 27,502,321
With that explanation out of the way, let's continue. Next, we take the number 27,502,321 and divide it by 2:
27,502,321 ÷ 2 = 13,751,160.5
If the quotient is a whole number, then 2 and 13,751,160.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 27,502,321 | |
| -1 | -27,502,321 |
Now, we try dividing 27,502,321 by 3:
27,502,321 ÷ 3 = 9,167,440.3333
If the quotient is a whole number, then 3 and 9,167,440.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 27,502,321 | |
| -1 | -27,502,321 |
Let's try dividing by 4:
27,502,321 ÷ 4 = 6,875,580.25
If the quotient is a whole number, then 4 and 6,875,580.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.
Here is what our table should look like at this step:
| 1 | 27,502,321 | |
| -1 | 27,502,321 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 251 | 1,423 | 1,757 | 2,761 | 9,961 | 15,653 | 19,327 | 109,571 | 357,173 | 2,500,211 | 3,928,903 | 27,502,321 |
| -1 | -7 | -11 | -77 | -251 | -1,423 | -1,757 | -2,761 | -9,961 | -15,653 | -19,327 | -109,571 | -357,173 | -2,500,211 | -3,928,903 | -27,502,321 |
Here are some more numbers to try:
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